ENGINE FAILURE

2002 Toyota Corolla • 4 cylinder 2WD Manual • 88,000 miles

Toyota 2002 corolla 88,000 klms.
engine stops dead (no spluttering)without warning while driving at any speed fast or slow, usually after driving for at least 100klms. On hot day with air-con going & head lights, after resting for 10 minutes will start again. Toyota can't find problem. Say no computer codes to alert to what the problem is. Can coolant temperature sensors or crank sensors be checked if they are working without having to rely on the computer to say if they are OK? I am at wits end to find the problem as it happens when I am a long way from home.